Question

Consider the statement below.If AB = CD + EF and CD + EF = GH, then AB = GH.Which property can be used to justify the conclusion? O A.Subtraction property of equalityO B. Symmetric property of equality Ос.Addition property of equalityO D.Transitive property of equ

Answer 1

To answer this question, we have the next statement:

$AB=CD+EF$

And

$CD+EF=GH$

Then

$AB=GH$

This property can also be represented as follows, and has the following structure:

If a = b and b = c, then a = c

Using an analogy, we can say that:

• a = AB

,

• b = CD + EF

,

• c = GH

And we end up with the same statement written above:

• AB = CD + EF and CD + EF = GH, then AB = GH

This property is called the Transitive Property of Equality.

In summary, the answer to this question is option D: Transitive Property of Equality.

[The other options do not correspond to this answer.]